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Rigorous derivation of incompressible type Euler equations from non-isentropic Euler–Maxwell equations

Authors :
Yang, Jianwei
Wang, Shu
Li, Yong
Luo, Dang
Source :
Nonlinear Analysis. Dec2010, Vol. 73 Issue 11, p3613-3625. 13p.
Publication Year :
2010

Abstract

Abstract: In this paper, we investigate the convergence of the time-dependent and non-isentropic Euler–Maxwell equations to incompressible Euler equations in a torus via the combined quasi-neutral and non-relativistic limit. For well prepared initial data, the convergences of solutions of the former to the solutions of the latter are justified rigorously by an analysis of asymptotic expansions and energy method. [Copyright &y& Elsevier]

Details

Language :
English
ISSN :
0362546X
Volume :
73
Issue :
11
Database :
Academic Search Index
Journal :
Nonlinear Analysis
Publication Type :
Academic Journal
Accession number :
53419097
Full Text :
https://doi.org/10.1016/j.na.2010.07.042